Lensing covariance on cut sky and SPT-Planck lensing tensions
We investigate correlations induced by gravitational lensing on simulated cosmic microwave background data of experiments with an incomplete sky coverage and their effect on inferences from the South Pole Telescope data. These correlations agree well with the theoretical expectations, given by the s...
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ftdatacite:10.48550/arxiv.1810.09347 2023-05-15T18:22:55+02:00 Lensing covariance on cut sky and SPT-Planck lensing tensions Motloch, Pavel Hu, Wayne 2018 https://dx.doi.org/10.48550/arxiv.1810.09347 https://arxiv.org/abs/1810.09347 unknown arXiv https://dx.doi.org/10.1103/physrevd.99.023506 arXiv.org perpetual, non-exclusive license http://arxiv.org/licenses/nonexclusive-distrib/1.0/ Cosmology and Nongalactic Astrophysics astro-ph.CO FOS Physical sciences article-journal Article ScholarlyArticle Text 2018 ftdatacite https://doi.org/10.48550/arxiv.1810.09347 https://doi.org/10.1103/physrevd.99.023506 2022-04-01T08:50:40Z We investigate correlations induced by gravitational lensing on simulated cosmic microwave background data of experiments with an incomplete sky coverage and their effect on inferences from the South Pole Telescope data. These correlations agree well with the theoretical expectations, given by the sum of super-sample and intra-sample lensing terms, with only a typically negligible $\sim$ 5% discrepancy in the amplitude of the super-sample lensing effect. Including these effects we find that lensing constraints are in $3.0σ$ or $2.1σ$ tension between the SPT polarization measurements and Planck temperature or lensing reconstruction constraints respectively. If the lensing-induced covariance effects are neglected, the significance of these tensions increases to $3.5σ$ or $2.5σ$. Using the standard scaling parameter $A_L$ substantially underestimates the significance of the tension once other parameters are marginalized over. By parameterizing the super-sample lensing through the mean convergence in the SPT footprint, we find a hint of underdensity in the SPT region. We also constrain extra sharpening of the CMB acoustic peaks due to missing smoothing of the peaks by super-sample lenses at a level that is much smaller than the lens sample variance. Finally, we extend the usual "shift in the means" statistic for evaluating tensions to non-Gaussian posteriors, generalize an approach to extract correlation modes from noisy simulated covariance matrices, and present a treatment of correlation modes not as data covariances but as auxiliary model parameters. : 17 pages, 14 figures Text South pole DataCite Metadata Store (German National Library of Science and Technology) South Pole |
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Cosmology and Nongalactic Astrophysics astro-ph.CO FOS Physical sciences |
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Cosmology and Nongalactic Astrophysics astro-ph.CO FOS Physical sciences Motloch, Pavel Hu, Wayne Lensing covariance on cut sky and SPT-Planck lensing tensions |
topic_facet |
Cosmology and Nongalactic Astrophysics astro-ph.CO FOS Physical sciences |
description |
We investigate correlations induced by gravitational lensing on simulated cosmic microwave background data of experiments with an incomplete sky coverage and their effect on inferences from the South Pole Telescope data. These correlations agree well with the theoretical expectations, given by the sum of super-sample and intra-sample lensing terms, with only a typically negligible $\sim$ 5% discrepancy in the amplitude of the super-sample lensing effect. Including these effects we find that lensing constraints are in $3.0σ$ or $2.1σ$ tension between the SPT polarization measurements and Planck temperature or lensing reconstruction constraints respectively. If the lensing-induced covariance effects are neglected, the significance of these tensions increases to $3.5σ$ or $2.5σ$. Using the standard scaling parameter $A_L$ substantially underestimates the significance of the tension once other parameters are marginalized over. By parameterizing the super-sample lensing through the mean convergence in the SPT footprint, we find a hint of underdensity in the SPT region. We also constrain extra sharpening of the CMB acoustic peaks due to missing smoothing of the peaks by super-sample lenses at a level that is much smaller than the lens sample variance. Finally, we extend the usual "shift in the means" statistic for evaluating tensions to non-Gaussian posteriors, generalize an approach to extract correlation modes from noisy simulated covariance matrices, and present a treatment of correlation modes not as data covariances but as auxiliary model parameters. : 17 pages, 14 figures |
format |
Text |
author |
Motloch, Pavel Hu, Wayne |
author_facet |
Motloch, Pavel Hu, Wayne |
author_sort |
Motloch, Pavel |
title |
Lensing covariance on cut sky and SPT-Planck lensing tensions |
title_short |
Lensing covariance on cut sky and SPT-Planck lensing tensions |
title_full |
Lensing covariance on cut sky and SPT-Planck lensing tensions |
title_fullStr |
Lensing covariance on cut sky and SPT-Planck lensing tensions |
title_full_unstemmed |
Lensing covariance on cut sky and SPT-Planck lensing tensions |
title_sort |
lensing covariance on cut sky and spt-planck lensing tensions |
publisher |
arXiv |
publishDate |
2018 |
url |
https://dx.doi.org/10.48550/arxiv.1810.09347 https://arxiv.org/abs/1810.09347 |
geographic |
South Pole |
geographic_facet |
South Pole |
genre |
South pole |
genre_facet |
South pole |
op_relation |
https://dx.doi.org/10.1103/physrevd.99.023506 |
op_rights |
arXiv.org perpetual, non-exclusive license http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
op_doi |
https://doi.org/10.48550/arxiv.1810.09347 https://doi.org/10.1103/physrevd.99.023506 |
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1766202330220331008 |